Category Archives: General Relativity

Posts about General Relativity.

The escape velocity for the Schwarzschild metric (2).

In the other post The escape velocity for the Schwarzschild metric. we have found the escape velocity , however – this was based on the limit and . Let us return to the radial-equation for the Schwarzschild metric given by … Continue reading

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Kerr metric and dragging.

The Kerr-metric is given by , where and . We solve the geodesic equation using It is clear that , then for we obtain the equation So there is a solution . Next we look to the equation for and … Continue reading

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Solving the geodesic equation.

In this post, I will write about the geodesic equation. I suggest a simplified form that is simpler to solve. The geodesic equation is given by , where . We have used the convention that . Then we may write … Continue reading

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The escape velocity for the Schwarzschild metric.

The Schwarzschild metric is given by where and . The geodetic equation is given by The path for escaping is given by and , so we only need And we obtain the equations So Now it is clear that . … Continue reading

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Transformations in Space-Time

What are inertial systems of reference? Why are transformations between inertial systems of reference linear? A simple analysis of transformations between systems of reference. We have two systems of reference, denoted by and . Each system has his own co-ordinates; … Continue reading

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